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A New Torus Bounding for Line-Torus Intersection

机译:一个新的托鲁斯交叉点

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摘要

Intersection algorithms are very important in computation of geometrical problems. An intersection of a line with linear or quadratic surfaces is well done, however a line intersection with other surfaces is more complex and time consuming. In this case the object is usually closed into a simple bounding volume to speed up the cases when the given line cannot intersect the given object. In this paper a new formulation of the line-torus intersection problem is given and new specification of the bounding volume for a torus is given. The presented approach is based on an idea of a line intersection with an envelope of rotating sphere that forms a torus. Due to this approach new bounding volume can be formulated which is more effective as it enables to detect cases when the line passes the "hole" of a torus.
机译:交叉路口算法在几何问题的计算中非常重要。具有线性或二次表面的线的交叉点,但是与其他表面的线交叉更复杂且耗时。在这种情况下,对象通常被关闭到简单的边界卷中以加速给定行不能与给定对象相交的情况。在本文中,给出了线环状交叉点的新配方,并给出了圆环的新规格。所提出的方法是基于与形成圆环的旋转球体的包络线交叉的思想。由于这种方法,可以制定新的边界体积,这更有效,因为当线通过圆环的“孔”时,它能够检测到壳体。

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